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Finding the Fourth Proportional to 340,334.10, 510,382.10 and 100,384.34

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Solution

The fourth proportional to 340,334.10, 510,382.10 and 100,384.34 is: 150,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,334.10 : 510,382.10 = 100,384.34 : x
  2. Step 2: Convert to fraction form
    340,334.10/510,382.10 = 100,384.34/x
  3. Step 3: Cross multiply
    340,334.10x = 510,382.10 × 100,384.34
  4. Step 4: Simplify right side
    340,334.10x = 51,234,367,955.36
  5. Step 5: Solve for x
    x = 51,234,367,955.36/340,334.10
  6. Step 6: Final answer
    x = 150,541.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.